Question

4x+4y=4 3x+y=10 solve by elimination

Answer 1

Answer and Step-by-step explanation:

First, solve for y in the second equation because that equation would be easier to solve than the first one for y.

y = 10 - 3x.

Now, plug this into the y of the first equation, and solve for x.

4x + 4(10 - 3x) = 4

Distribute the 4.

4x + 40 - 12x = 4

Combine 4x and -12x,  Subtract 4 from both sides, then add -8x to both sides.

-8x + 40 = 4

36 = 8x

Divide both sides by 8.

$\frac{9}{2}$ (or 4.5) = x

Now, plug this in for x in the second equation to solve for y.

3 × 4.5 + y = 10

13.5 + y = 10

Subtract 13.5 from both sides.

y = -3.5

$\frac{9}{2}$ (or 4.5) = x

y = -3.5

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